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Finding the Fourth Proportional to 276,166.75, 414,119.24 and 96,189.41

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Solution

The fourth proportional to 276,166.75, 414,119.24 and 96,189.41 is: 144,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,166.75 : 414,119.24 = 96,189.41 : x
  2. Step 2: Convert to fraction form
    276,166.75/414,119.24 = 96,189.41/x
  3. Step 3: Cross multiply
    276,166.75x = 414,119.24 × 96,189.41
  4. Step 4: Simplify right side
    276,166.75x = 39,833,885,365.25
  5. Step 5: Solve for x
    x = 39,833,885,365.25/276,166.75
  6. Step 6: Final answer
    x = 144,238.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.